Making Sense of Number, K–10

Making Sense of Number, K–10

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  • Author: Mary Fiore
  • Publisher: Pembroke Publishers Limited
  • ISBN: 1551389339
  • Category : Education
  • Languages : en
  • Pages : 144

This practical book shows you how to get to know the needs and abilities of your students and help them make sense of math concepts. Designed to enhance your professional learning, the book shows you how to notice, interpret, confirm, and respond to student thinking. You will discover how to structure learning experiences around key number concepts — quantity, counting, relating, and representing — developed across various strands: patterning and algebra, numbers and operations, measurement, geometry, and data and probability. Powerful examples of questions and prompts guide you to create a classroom where students get the support they need as they develop confidence in their number sense.


It Makes Sense!

It Makes Sense!

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  • Author: Melissa Conklin
  • Publisher: Math Solutions
  • ISBN: 1935099108
  • Category : Education
  • Languages : en
  • Pages : 302

"Ten-frames are a model to help students efficiently gain and develop an understanding of addition and subtraction. The classroom-tested routines, games, and problem-solving lessons in this book use ten-frames to develop students' natural strategies for adding numbers and fit into any set of state standards or curriculum"--Provided by publisher.


Making Numbers Make Sense

Making Numbers Make Sense

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  • Author: Ron Ritchhart
  • Publisher: Addison-Wesley Longman
  • ISBN:
  • Category : Arithmetic
  • Languages : en
  • Pages : 178

This extensive collection of hands-on activities helps students develop their number sense and basic mathematical comprehension. Lessons in place value, statistics, measurement, and estimation all adhere to the NCTM standards for teaching math.


Making Sense of Mathematics for Teaching Grades K-2

Making Sense of Mathematics for Teaching Grades K-2

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  • Author: Juli K. Dixon
  • Publisher: Solution Tree Press
  • ISBN: 1942496400
  • Category : Education
  • Languages : en
  • Pages : 218

Develop a deep understanding of mathematics. This user-friendly resource presents grades K–2 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Clarify math essentials with figures and tables that facilitate understanding through visualization. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Number Concepts and Place Value 2 Word Problem Structures 3 Addition and Subtraction Using Counting Strategies 4 Addition and Subtraction Using Grouping Strategies 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals


Number Sense Routines

Number Sense Routines

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  • Author: Jessica Shumway
  • Publisher: Taylor & Francis
  • ISBN: 1003839789
  • Category : Education
  • Languages : en
  • Pages : 193

In this groundbreaking and highly practical book,Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, author Jessica Shumway proposes that all children have innate number sense which can be developed through daily exercise. Shumway createda series of math routines designed to help young students strengthen and build their facility with numbers. These quick 5, 10, or 15 minute exercises are easy to implement as an add-on to any elementary math curriculum. Understanding Number Sense: Students with strong number sense understand numbers, how to subitize, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies, and use visual models to solve problems. Number Sense Routines supports the early learner by instilling the importance of daily warm-ups and explains how they benefit developing math minds for long-term learning. Real Classroom Examples: Shumway compiled her classroom observations from around the country. She includes conversations among students who practice number sense routines to illustrate them in action, how children's number sense develops with daily use, and math strategies students learn as they develop their numerical literacy through self-paced practice. Assessment Strategies: Number Sense Routines demonstrates the importance of listening to your students and knowing what to look for. Teachers will gain a deeper understanding of the underlying math skills and strategies students learn as they develop numerical literacy. Shumway writes, As you read, you will step into various classrooms and listen in on students' conversations, which I hope will give you insight into the power of number sense routines and the impact they have on students' number sense development. My hope is that going into the classroom, into students' conversations, and into their thought processes, you will come away with new ideas and tools to use in your own classroom.


Mathematizing Student Thinking

Mathematizing Student Thinking

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  • Author: David Costello
  • Publisher: Pembroke Publishers Limited
  • ISBN: 1551389568
  • Category : Education
  • Languages : en
  • Pages : 160

How can you broaden student thinking and help them develop their independence and confidence as problem solvers? Real-life problems are a remarkable tool to stretch student thinking and help them develop a deeper understanding of mathematics and its role in everyday life. Rather than using textbook exercises, the book argues that solving real-world problems promotes flexibility and encourages students to adjust and grow their thinking. It inspires them to consider alternatives and apply math in authentic contexts. You will find practical ways to engage students in critical thinking, develop their independence, and make connections with the world.


Making Sense of Statistical Methods in Social Research

Making Sense of Statistical Methods in Social Research

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  • Author: Keming Yang
  • Publisher: SAGE
  • ISBN: 1446205592
  • Category : Social Science
  • Languages : en
  • Pages : 218

Making Sense of Statistical Methods in Social Research is a critical introduction to the use of statistical methods in social research. It provides a unique approach to statistics that concentrates on helping social researchers think about the conceptual basis for the statistical methods they′re using. Whereas other statistical methods books instruct students in how to get through the statistics-based elements of their chosen course with as little mathematical knowledge as possible, this book aims to improve students′ statistical literacy, with the ultimate goal of turning them into competent researchers. Making Sense of Statistical Methods in Social Research contains careful discussion of the conceptual foundation of statistical methods, specifying what questions they can, or cannot, answer. The logic of each statistical method or procedure is explained, drawing on the historical development of the method, existing publications that apply the method, and methodological discussions. Statistical techniques and procedures are presented not for the purpose of showing how to produce statistics with certain software packages, but as a way of illuminating the underlying logic behind the symbols. The limited statistical knowledge that students gain from straight forward ′how-to′ books makes it very hard for students to move beyond introductory statistics courses to postgraduate study and research. This book should help to bridge this gap.


Making Sense of Mathematics for Teaching, Grades 3-5

Making Sense of Mathematics for Teaching, Grades 3-5

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  • Author: Juli K. Dixon
  • Publisher: Solution Tree Press
  • ISBN: 1942496435
  • Category : Education
  • Languages : en
  • Pages : 386

Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals


Making Sense of Data and Information

Making Sense of Data and Information

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  • Author: Elearn
  • Publisher: Routledge
  • ISBN: 0080465218
  • Category : Business & Economics
  • Languages : en
  • Pages : 115

This text considers the value of information in organisations - assessing how effectively the information is used in a management role. As well as making data easier to interpret, the techniques the book presents are valuable communication tools that will help the reader use information more effectively with others. A toolkit of techniques that can be used to investigate organizations is included - featuring statistical and operational techniques as well as computer tools. This book will help the reader to develop this ability by applying the methods that are described within a business context.


Making Numbers Count

Making Numbers Count

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  • Author: Chip Heath
  • Publisher: Simon and Schuster
  • ISBN: 1982165456
  • Category : Business & Economics
  • Languages : en
  • Pages : 208

A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.